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Part of the book series: Mathematics and Its Applications ((MAIA,volume 65))

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Abstract

The general discussion of the orthogonalization methods (see Chapter 12) indicated that the Givens plane rotations are the most suitable method for handling large and sparse linear least squares problems. Two implementations of the Givens plane rotations for large and sparse linear least squares problems were discussed in the previous chapter. In the present chapter some pivotal strategies that can successfully be used with the second implementation will be described and compared. The same rule is used in the selection of pivotal columns in these pivotal strategies. The differences arise because the row interchanges are not the same.

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© 1991 Springer Science+Business Media Dordrecht

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Zlatev, Z. (1991). Pivotal Strategies for Givens Plane Rotations. In: Computational Methods for General Sparse Matrices. Mathematics and Its Applications, vol 65. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1116-6_14

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  • DOI: https://doi.org/10.1007/978-94-017-1116-6_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4086-2

  • Online ISBN: 978-94-017-1116-6

  • eBook Packages: Springer Book Archive

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